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Finding the Fourth Proportional to 23,653.14, 32,647.02 and 14,219.88

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Solution

The fourth proportional to 23,653.14, 32,647.02 and 14,219.88 is: 19,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.14 : 32,647.02 = 14,219.88 : x
  2. Step 2: Convert to fraction form
    23,653.14/32,647.02 = 14,219.88/x
  3. Step 3: Cross multiply
    23,653.14x = 32,647.02 × 14,219.88
  4. Step 4: Simplify right side
    23,653.14x = 464,236,706.76
  5. Step 5: Solve for x
    x = 464,236,706.76/23,653.14
  6. Step 6: Final answer
    x = 19,626.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.